Электронная библиотека Попечительского советамеханико-математического факультета Московского государственного университета
 Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум Авторизация Поиск по указателям     Honsberger R. — Mathematical diamonds Обсудите книгу на научном форуме Нашли опечатку?Выделите ее мышкой и нажмите Ctrl+Enter Название: Mathematical diamonds Автор: Honsberger R. Аннотация: Ross Honsberger has done it again. He has brought together another wonderful collection of elementary mathematical problems and their solutions abounding in striking surprises and brilliant ideas that reflect the beauty of mathematics. Many of these problems come from mathematical journals. Others come from various mathematical competitions such as the Tournament of the Towns, the Balkan Olympiad, the American Invitational Mathematics Exam, and the Putnam exam. And, of course, there is a problem suggested by Paul Erd?s. This book is ideal for students, teachers and anyone interested in recreational mathematics. Язык: Рубрика: Математика/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2003 Количество страниц: 255 Добавлена в каталог: 11.09.2015 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель
 A certain angle bisector in a parallelogram      21 A certain quartic equation with an integer root      7 A certain rectangle and the relation 14 A certain set of equal circles in a square      8 A cevian property      15 A construction problem on perpendicular medians      11 A function f such that whenever |i — j| is a prime      22 A locus of midpoints of segments between two circles      7 A property involving the median of a triangle      8 A property of 16-digit integers      11 A property of cevian conjugates      15 A property of isosceles triangles      5 A property of regular n-gons inscribed in a unit circle      19 A property of sequences of positive integers      8 A property of the medial triangle      18 A property of uncountable sets of real numbers      18 A quadratic equation involving [x], the integer part of x      5 A sequence of positive integers with 8 A set of three quatioiis involving x, [x], {x}, etc.      8 A special concurrency and collinearity      15 A variation on a problem of Regiomontanus      11 Algebraic integer      13 An "oasis" property of prime numbers      20 An inequality on a sum of reciprocals and the rth prime      5 Analytic geometry      24 Arithmetic mean-geometric mean inequality      8 Binomial theorem      4 Brown, Steve      3 Bull, John      19 Butterfly problem      16 Cevian, cevian conjugate, cevian property, Ceva's theorem      15 Chebyshev polynomial      13 Circumcenter of a triangle      5 22 Coin-tossing: odd man wins      12 Coloring lattice points      13 Complete graph      6 Countability of the rationals      18 Covering 1, 1/2, 1/3,... with five bars      14 De Moivre's theorem      4 Differentiation      7 Dilatation (Homothecy)      7 22 Dinh, Hung      1 Dirichlet's theorem      20 Dissecting a 2 by 10 rectangle to cover a square      5 Distance-rate-time problem      8 Ellipse; given foci, tangent to x-axis; find major axis      5 Erdoes' result on infinite sets and integral distances      4 Erdoes' theorem on big distances in sets of diameter 6 Establish , where s = semiperimeter of the orthic triangle      5 Euclid      19 Euler line      22 Farey sequences      8 Fejer, Leopold      5 Find lattice points on graph of 14 Finding terms that are divisible by 11 in a certain sequence      22 Fractional part of an integer      8 Generating function      17 Graph, linear      3 Hahn, Liong-shin      11 Haruki, Hiroshi      16 Homothecy (Dilatation)      7 22 Hyperbola      4 Induction      8 10 17 20 Inequality concerning prime numbers      9 Infinite decimals      20 Infinite product      17 Inscribed circles      23 Integer distances      4 Interlocking sequences      8 Lambek, Joseph      17 Law of Cosines      6 Law of Sines      21 Leapfrog induction      20 Linear dependence      5 Markov chain      12 Marquez, Juan-Bosco Romero      15 Matrix, 0-1      5 Mendelsohn, Nathan      20 Menelaus' theorem      15 Minimum circle enclosing a set of points in the plane      11 Moser, Leo      17 Mr. A thinks of a number      11 Number of divisors of an integer      11 On 8 On 16 positive integers with sum 100 and sum of squares 1000      14 On a certain square in a circle      21 On a certain triangle of maximum area      21 On certain fractions that reduce to integers      8 On certain triangles which have a common Euler line      22 On circles capturing points of a set of n planar points      11 On multiples of 24      7 On prime decompositions and a perfect square      5 On the functions and 11 On the largest regular hexagon inscribed in a square      11 On the minimum value of a certain function      11 On the triangle formed from the medians of a triangle      11 On three cards marked with integers x, y, z      11 Orthic triangle      5 22 Orthocenter of a triangle      22 Packing two squares into a third square      7 Payan, Charles      1 Polynomial; coefficients , , odd implies no rational root      5 Pythagorean triple      4 Quadratic f(x) consists only of 1's when x consists only of 1's      8 Quartering a quadrilateral; segments to midpoints of sides      5 Rabinowitz, Stanley      5 Random points      3 Rank of a matrix      5 Recursion      8 12 Reflecting a side of a triangle in the other two sides      5 Reflection of the plane      5 16 Reflector property of the ellipse      5 Relatively prime integers      9 Root-mean-square inequality      14 Rotation of coordinate axes      24 Rotation of the plane      5 8 Sedinger, Harry      11 Sharygin, I.F.      8 Sierpinski, Waclaw      20 Silverman, David      4 Special properties of 30 and 24      9 Square-free part of an integer      5 Subdividing a convex quadrilateral into sub-quadrilaterals      25 Takeda, Shingen      23 Takeda, Shinko      23 Tanaka, Shotaro      23 The 37th digit in a certain decimal      20 The butterfly problem      16 The footrace      5 The fractions on either side of 5/8      8 The greatest integer value of 14 The method of infinite descent      20 The remarkable point Q      16 The Schwab — Schoenberg mean      8 The strolling professor and her assistant      8 The value of for a certain 14 The weight of watermelons      8 To construct an isosceles triangle to touch two given circles      8 Vector, geometric      13 Winterle, Riko      18 Реклама     © Электронная библиотека попечительского совета мехмата МГУ, 2004-2020 | | О проекте